Tourkia :first mentions of Anatolia with this name.Do ever byzantines named such?

Please reffer any first/medieval mentions of Anatolia with this name [= Tourkia ] describing the source and the refer [to the status/ population/domination]. Do ever byzantines named such, as the wiki mention ?

.....................Etymology
The name of Turkey, Türkiye in the Turkish language, can be divided into two components: the ethnonym Türk and the abstract suffix –iye meaning "owner", "land of" or "related to" (derived from the Arabic suffix –iyya, which is similar to the Greek and Latin suffixes –ia). The first recorded use of the term "Türk" or "Türük" as an autonym is contained in the Orkhon inscriptions of the Göktürks (Celestial Turks) of Central Asia (c. 8th century). The English word "Turkey" is derived from the Medieval Latin Turchia (c. 1369). The Greek cognate of this name, Tourkia (Greek: Τουρκία) was originally used by the Byzantines to describe medieval Hungary (since pre-Magyar Hungary was occupied by proto-Turkic and Turkic tribes, such as the Huns, Avars, Bulgars, Kabars, Pechenegs and Cumans.) Similarly, the medieval Khazar Empire, a Turkic state on the northern shores of the Black and Caspian seas, was referred to as Tourkia (Land of the Turks) in Byzantine sources.However, the Byzantines later began using this name to define the Seljuk-controlled parts of Anatolia in the centuries that followed the Battle of Manzikert in 1071.
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My question :

Is there any Roman-Byzantine named Anatolia with the name Turcia/Turkia or any similar, and where and what the term reffers?

{even to the latin 'History of Romania/Istoria di Romania' in 14th century of Marino Sanudo Torsello, refering for past events, named the Seljuck sultan as 'soldan della Turchia' >
But Marino Sanudo Torsello also describes that in his days [about 1338/1369] :

....In Asia Minor ...... the most of it [=Anatolia], is subservient to Turks, but the most people follow the GREEK [=greek orthodox] and rituals and are mostly Greeks. Even to [the today calling] Armenia, which in the old days was called Cilicia [=he reffers to Armenia of Cilicia] is inhabited by Greeks.
In Mesopotamia [=north east Anatolia] there are large number of Greeks and there were many more at the time of the crusade era of Peter the Hermit [=end of 11th century]..........

we have a descρiption of the major population in Anatolia's first half of 14th century, and the subservient to Turks+= Asserting sovereignty of power and not of population.
I have only found that from byzantines is used for lands occupied from Turks as 'territory of the Turks' , 'occupied from Turks' etc .
As also even latin writters like Marino Sanudo who use the term, give this description between power and population.

there is a reffer to the greek version of the frankish 'chronicle of morea' who also mention the Turkia name as sovereignty, same as we already see in istoria of Romania of Sanudo's meaning, in late 14th century, and reffering to events of 13th/14th century THE CHRONICLE OF MOREA }

, written in the medieval Cypriot dialect.
Machairas was Orthodox Christian but wrote with respect for the pope and the Catholic ruling class of Cyprus for whom he was working.

As also the author of the 'chronicle of Morea' writes with respect for the catholic French ruling class of Peloponessos[=Morea].

To the reffered 'Istoria di Romania'/[ Romania= another name who refferd to Roman empire's status] in 14th century of Marino Sanudo Torsello , also wrote with respect for the pope and the catholic church and rulers.

Here, since now we have found two sources in greek byzantine local languages, in which the name Turkia reffers to apart of Anatolia's lands that occupied on past from Seljucks, and a latin/italian that also reffers the past [13th century], named the Seljuck sultan as 'soldan della Turchia'.

but my main question remain, and with this i mean that i search for a source in Roman/byzantine terittory, who can support what the wiki for Turkey reffers :

''....However, the Byzantines later began using this name to define the Seljuk-controlled parts of Anatolia in the centuries that followed the Battle of Manzikert in 1071.. . . ''

So i am searching those Romans/Byzantines later began using this name, if there were.
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But you can reffer anyone else any first mentions named parts of Anatolia as Turkia, latin or greek or anyother, as the main purpose of the forum is knowledge, and research of resources.

So i thank anyone participated here, Koseku, Antocya and Imper.

Imper thank you also for the Leontios Machairas source reffered .

So i 'Open' the thread to be refferd not only roman/ byzantines resources [to i personally i am very interesting and i insist following the wiki's view] but also latin or anyone else written source.